Optimization in task--completion networks

Physics – Physics and Society

Scientific paper

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18 pages, 3 figures, submitted to JSTAT

Scientific paper

10.1088/1742-5468/2008/02/P02003

We discuss the collective behavior of a network of individuals that receive, process and forward to each other tasks. Given costs they store those tasks in buffers, choosing optimally the frequency at which to check and process the buffer. The individual optimizing strategy of each node determines the aggregate behavior of the network. We find that, under general assumptions, the whole system exhibits coexistence of equilibria and hysteresis.

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